Advertisements
Advertisements
प्रश्न
Find the distance between the following pairs of points:
(–3, 6) and (2, –6)
Advertisements
उत्तर
(–3, 6) and (2, –6)
x1 = –3, y1 = 6, x2 = 2, y2 = –6
AB = `sqrt((x_2-x_1)^2+(y_2-y_1)^2)`
= `sqrt((2 + 3)^2 + (-6 -6)^2)`
= `sqrt((5)^2 + (-12)^2)`
= `sqrt(25 + 144)`
= `sqrt(169)`
= 13
APPEARS IN
संबंधित प्रश्न
If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b). Prove that bx = ay.
If P and Q are two points whose coordinates are (at2 ,2at) and (a/t2 , 2a/t) respectively and S is the point (a, 0). Show that `\frac{1}{SP}+\frac{1}{SQ}` is independent of t.
Find the distance between the points
(i) A(9,3) and B(15,11)
Using the distance formula, show that the given points are collinear:
(6, 9), (0, 1) and (-6, -7)
Determine whether the point is collinear.
R(0, 3), D(2, 1), S(3, –1)
P and Q are two points lying on the x - axis and the y-axis respectively . Find the coordinates of P and Q if the difference between the abscissa of P and the ordinates of Q is 1 and PQ is 5 units.
Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.
Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).
Point P (2, -7) is the center of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of: AT
Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.
